Consistent description of kinetics and hydrodynamics of weakly nonequilibrium processes in simple liquids

TL;DR

This paper develops generalized transport equations to unify the kinetic and hydrodynamic descriptions of dense gases and liquids, analyzing their kernels and collective modes for a combined molecular hydrodynamics approach.

Contribution

It introduces a consistent framework for describing kinetic and hydrodynamic processes in dense liquids, including the structure of transport kernels and collective mode analysis.

Findings

Transport kernels' inner structure is established.

A spectrum of collective modes is investigated.

A method to derive molecular hydrodynamics equations is shown.

Abstract

The generalized transport equations for a consistent description of kinetic and hydrodynamic processes in dense gases and liquids are considered. The inner structure of the generalized transport kernels for these equations is established. It is shown how in this approach to obtain the transport equation of molecular hydrodynamics. For the model potential of interaction presented as a sum of the hard spheres potential and certain long-range potential a spectrum of collective modes in the system is investigated.